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Finding the Third Proportional to 9,750.38 and 16,470.84

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Solution

The third proportional to 9,750.38 and 16,470.84 is: 27,823.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.38 : 16,470.84 = 16,470.84 : x
  2. Step 2: Convert to fraction form
    9,750.38/16,470.84 = 16,470.84/x
  3. Step 3: Cross multiply
    9,750.38x = 16,470.84 × 16,470.84
  4. Step 4: Simplify right side
    9,750.38x = 271,288,693.84
  5. Step 5: Solve for x
    x = 271,288,693.84/9,750.38
  6. Step 6: Final answer
    x = 27,823.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.